Bei Wang, Li Ma
Abstract:
This article presents L^p estimates for the gradient of
p-harmonic maps. Since the system satisfies a natural growth
condition, it is difficult to use standard elliptic estimates.
We use spherical coordinates to convert the system into another
system with angle functions. The new system can be
estimate by the standard elliptic technique.
Submitted June 18, 2009. Published February 26, 2010.
Math Subject Classifications: 35J70, 49J20, 58G18.
Key Words: Gradient estimate; p-harmonic map; spherical coordinates
Show me the PDF file (190 KB), TEX file, and other files for this article.
Bei Wang Department of Mathematics Jiangsu Institute of Education Nanjing, 210013, China email: jsjywang@126.com | |
Li Ma Institute of Science PLA University of Science and Technology Nanjing, 211101, China email: mary96@126.com |
Return to the EJDE web page